PuzzleKite
Daily
Loop & Line puzzle guide

How to play Shingoki

Draw one loop through every numbered circle.

Hard to learn4 min read5×5 to 9×9 and 6×8, plus 10×10 easy and medium
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A finished 5×5. One closed loop through every numbered circle.

Rules

Shingoki is a loop puzzle. The board is a grid of cells. A thick frame runs around the outside. Dotted lines show the cells. Some cells hold a numbered circle. A white circle is an outlined ring with a dark numeral. A black circle is a filled disc with a light numeral. An empty cell has no circle. You draw one closed loop through every numbered circle. The loop runs from cell centre to cell centre, under the circles. It does not have to visit an empty cell. It does not branch, and it does not cross itself. A white circle goes straight: the two exits are opposite. A black circle turns: the two exits are perpendicular. The number is the sum of the two arm lengths. Count one for each step along a run. A turn ends that arm. A line is a piece of the loop. A cross is a note that the loop does not use that edge. A line and a cross cannot share an edge. Placing one replaces the other. There is no third mark. The puzzle is finished when the lines are the one solution and nothing on the board clashes. Extra crosses on edges the loop does not use still count as finished. You can play 5×5 through 9×9 and a 6×8 rectangle in easy, medium, and hard, plus 10×10 in easy and medium. The 6×8 board is 6 rows by 8 columns. Among those sizes, 9×9 and 10×10 are dense. The wide grid is not. The daily puzzle is a 7×7 easy grid. People also look this up as Semaphores.

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  1. The loop. One closed loop runs from cell centre to cell centre, under the circles, and through every numbered circle. It does not have to visit an empty cell. It does not branch, and it does not cross itself.
  2. A white circle. An outlined ring with a dark numeral. The two exits are opposite, so the loop goes straight through.
  3. A black circle. A filled disc with a light numeral. The two exits are perpendicular, so the loop turns in that cell.
  4. The number. The sum of the two arm lengths. Count one for each step along a run. A turn ends that arm. On a black circle the arms stop at the turn. On a white circle they stop at the next turn or at the frame.
  5. A line and a cross. A line is a piece of the loop. A cross is a note that the loop does not use that edge. One replaces the other. The grid is finished when the lines are the one solution and nothing clashes. Extra crosses on edges the loop does not use still count as finished.

The picture of a finished grid draws the loop in teal and draws no halo. The frame stays dark. The circles stay as they are. No crosses. When the lines match and the other edges are still empty, the grid is already solved, so Hint does not run. A look at those lines alone would still have one cross to place, under the white 4 on the top. The same lines with a cross on every other edge have nothing left to place. The button shows neither of those. A printed puzzle page shows the dotted grid and the numbered circles, with no lines. A printed answer draws the loop in black under the circles and does not draw crosses. On screen, the solved picture uses teal for the lines. The PDF is black and white.

  • White circle
  • Black circle
  • Line
  • Cross
  • Clash

Choose Line or Cross under the board. Line starts selected. Drag through cell centres. The first segment of a drag decides draw or erase. In Line mode a drawing stroke lays the line, and a later segment of that stroke replaces a cross. In Cross mode the same drag lays or clears crosses. An erasing stroke clears only the tool you are using. Tap the edge between two centres to toggle that segment. A tap on a cell centre itself does nothing. Right-click places or clears a cross from either mode, and the menu stays closed. Press and hold to place a cross. A hold does not clear a cross that is already there. A drag that reaches the next centre cancels the hold. One press can place several edges, and undo takes that press back in one step. Arrow keys move from cell to cell and stop at the edge. The first arrow selects the top-left cell. Shift and an arrow toggles the line that way. Alt, Ctrl, or Meta and an arrow toggles the cross.Backspace or Delete clears every line and cross that touches the cursor. One clear is one undo. M switches Line and Cross.

Press Hint for one step the circles and the marks already force, with a sentence saying why. Hint lights the forced edges, and the circle that forced them when there is one, then places those edges. One press can place several lines and crosses together. A mark that already matches is left as it is, and the other edges of that step still write. Press Check when you want the board checked. A legal unfinished board gets "No mistakes so far. Keep going!" A board that already breaks a rule gets "Something breaks the rules. Look for the marked circles or lines." That is also the sentence while blank edges remain, once a circle or a line is already a clash. Hint on that board gets "This board has a mistake, so there is no hint yet." If Hint finds nothing on a legal board, it says "No forced edge from here. A line or a cross may be wrong, so try Check or Undo." Undo and Redo step through the marks. Reset clears every mark. When the lines match, the loop turns teal. The frame stays dark. The circles stay as they are. A cross that is still on the board stays muted. The dialog title is "Solved!" The dialog body is "One closed loop, and every numbered circle sits on it." The line under the board is "Drag or tap an edge. Right-click or hold for a cross." Once the grid is solved, that line is "One loop through every circle." The last press solves the grid, and Hint skips the toast. The Mistakes counter counts how many times Check found a board that broke a rule. It is not a score. A clash with blank edges still on the grid does add to that counter. A quiet wrong mark does not.

A coral circle or a coral line is a clash that is already on the board. With error highlighting off, none of that coral is drawn. A black circle in conflict turns coral and the numeral stays light. A white circle in conflict keeps a light fill, and the ring and the numeral turn coral. A line in a closed loop that leaves a circle outside turns coral. A cross stays muted, including a cross that blocks a circle. There is no wash on an empty cell. An open line is quiet. Print pages cannot show the yellow, the coral, or the teal.

Circles

A numbered circle sits on the loop. A black circle in the corner has only two edges, and the number fixes how far each arm goes. Hint writes the steps that every such split shares. A white circle on the border has to run straight along the edge, because one side is the frame. A black circle on the border has to turn, so the edge that leaves the border is a line. One press can write several edges. The new lines are violet, the new crosses are muted, and a yellow halo sits under each of them. The circle gets a yellow ring. A blank grid opens on one of these, or on a mark just past the circle. It does not always open on the corner. This guide starts with the corner because that is the how-to. Easy, medium, and hard return the same press. So does any other label.

A black circle in the corner Easy

A black circle in the corner has only two ways out, along the two sides of the frame. The number is split between those two arms. On this blank grid the corner is a black 7 in row 1 column 5. West can run at most four steps, and south can run at most four. The splits that add to 7 are three and four, or four and three. They share the first three steps each way. The press writes those six lines: three along the top, from column 2 through column 5, and three down the right, from row 1 through row 4. The fourth step either way is not in this press. The same idea on a smaller number is a black 4 that takes both edges for two steps each. This picture is the 7. The circle gets a yellow ring. Each new line is violet, with a yellow halo under it.

The grid is still unfinished. This is the opening press on this grid. Seven blank grids open here. Most open on the border instead. The guide still starts here. The same grid writes a second corner after this one. That later press is not another picture. The toast is "A black circle in the corner can only take those two edges, and the number fixes both arm lengths." Easy, medium, and hard return this sentence. So does any other label. The label does not hide a later sentence when the marks require it. It does not finish.

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Easy · six lines from a black 7

Yellow ring on row 1 column 5. A halo under each new line. The fourth step west and the fourth step south stay empty. First press on this grid. The grid is not finished.

The corner, and the six new lines

A white circle on the border Easy

A white circle on the border has to run straight along the edge. One direction is cut short by the frame, so the rest of the number runs the other way. On this blank grid the white 4 in row 1 column 4 can go only one step east, to column 5. West has to be three steps. The press writes the whole top row, and the cross on the edge that would leave the border, from row 1 column 4 down to row 2 column 4. The circle gets a yellow ring. The four lines are violet. The cross is muted. A yellow halo sits under each of them.

The grid is still unfinished. This is the opening press on this grid. It is the most common opening after the black circle on the border. A blank grid does not always open here. One puzzle finishes on a later press of this same sentence. The last press solves, and Hint skips the toast. A press that is only lines, and a press that is only crosses, also exist. This picture is the mix. The toast is "A white circle on the border has to run straight along the edge." Easy, medium, and hard return this sentence. So does any other label. The label does not hide a later sentence when the marks require it. It does not finish.

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Easy · a straight run along the top

Yellow ring on the white 4 in row 1 column 4. Four violet lines along the top, and a muted cross south of the circle. A halo under each new mark. First press. The grid is not finished.

The white 4, four lines, one cross

A black circle on the border Easy

A black circle on the border has to turn, so it cannot run along the frame. The edge that leaves the border is a line. On this blank grid the black 2 in row 1 column 2 has arms of one and one. The press writes the line from row 1 column 2 down to row 2 column 2, which leaves the top edge, and the cross from row 2 column 2 down to row 3 column 2, one step past that turn. The edges along the top are not shared by every split, so they are not in this press. The circle gets a yellow ring. The line is violet. The cross is muted. A yellow halo sits under each.

The grid is still unfinished. This is the opening press on this grid. The same grid later finishes on this sentence. Hint skips the toast on that last press. Another easy grid also finishes on it. Neither finish is this picture. The toast is "A black circle on the border has to turn, so the edge that leaves the border is a line." Easy, medium, and hard return this sentence. So does any other label. The label does not hide a later sentence when the marks require it. It does not finish.

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Easy · the turn leaves the border

Yellow ring on the black 2 in row 1 column 2. One violet line south, and a muted cross one step further. The top edges stay empty. First press. The grid is not finished.

The black 2, the line, and the cross

The number

The number is the sum of the two arms. A white circle's exits are opposite. A black circle's exits are perpendicular. A small number has only a few splits, and they can agree on a mark. A larger circle can agree on a mark just past itself before the whole arm is fixed. One press writes those agreed edges and rings the circle. The straight white circle is never the first press on these grids. The turn is never the first press. The small number is never the first press. The mark just past the circle is the first press on some grids. Easy, medium, and hard return each of these presses. So does any other label.

The white circle goes straight Easy

Away from the special cases on the border, a white circle still goes straight. Every way to split the number uses the same two opposite edges, so the other pair is a cross. On this grid the white 3 in row 4 column 4 already has a line to the north, from the opening press. The straight pair is north and south. East and west cannot be exits. The press writes crosses on both of those edges, and the line south from row 4 column 4 to row 5 column 4. The circle gets a yellow ring. The new line is violet. The new crosses are muted. The line already to the north stays violet, with no halo, because this press does not touch it.

The grid is still unfinished. This is the press after the opening. It is not an opening. The six marks from the opening stay. Easy puzzles finish before they need this sentence. It is still one of the early sentences, so an easy label still returns it on these marks. The easy label does not hide it. It does not finish. The toast is "The white circle's two exits are opposite, and every way to split the number uses those two edges." Easy, medium, and hard return this sentence. So does any other label. The label does not hide a later sentence when the marks require it.

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Easy · the straight pair, off the border

Yellow ring on the white 3 in row 4 column 4. A new line south, and crosses east and west. The north line was already there, with no halo. The grid is not finished.

The white 3, and the three new marks

The black circle turns Easy

A black circle turns, so its two exits are perpendicular. Every way to split the number can still agree on one of those edges. The press writes that one edge. Sometimes it is a line. Sometimes it is a cross. On these grids a cross is the more common of the two. The sentence is the same.

On the first picture the black 4 in row 4 column 4 agrees on the line from row 4 column 3 to row 4 column 4. The circle gets a yellow ring. The new line is violet, with a yellow halo. The grid is still unfinished. This is a later press. It is not an opening. Lines from the corner and from the earlier presses are already on the board. They stay violet, with no halo. This edge is the one with the halo.

On the second picture the black 2 in row 3 column 3 agrees on the cross from row 3 column 2 to row 3 column 3. The circle gets a yellow ring. The new cross is muted, with a yellow halo. The grid is still unfinished. This is a later press. It is not an opening. The lines and crosses already on the board stay as they are. The toast, both times, is "The black circle's two exits are perpendicular, and every way to split the number uses those edges." Easy, medium, and hard return this sentence. So does any other label. The label does not hide a later sentence when the marks require it. Neither press finishes.

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Easy · one line into a black 4

Yellow ring on row 4 column 4. A halo under the new line to its west. Older lines stay violet, with no halo. The grid is not finished.

The black 4, and the one new line
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Easy · one cross beside a black 2

Yellow ring on row 3 column 3. A halo under the new cross to its west. The same sentence as the line. The grid is not finished.

The black 2, and the one new cross

The number is small Easy

A small number has only a few arm lengths, and those lengths can agree even when the whole loop is still open. On this grid the black 2 in row 3 column 2 already has a line to the west and a cross to the east. The remaining arm is one step south. The press writes the line from row 3 column 2 down to row 4 column 2, and the cross from row 4 column 2 down to row 5 column 2, one step past the turn. The circle gets a yellow ring. The new line is violet. The new cross is muted. The west line and the east cross stay as they were.

The grid is still unfinished. This is an early press. It is not an opening. The border marks from the first presses are already on the board. Three puzzles finish on this sentence. Hint skips the toast. One of them is a 6×6 easy grid, and two are 6×8 hard grids. Those finishes are not this picture. The toast is "The number is small, so only a few arm lengths fit, and they agree on this mark." Easy, medium, and hard return this sentence. So does any other label. The label does not hide a later sentence when the marks require it. It does not finish.

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Easy · one step, then a cross

Yellow ring on the black 2 in row 3 column 2. A new line south and a new cross under it. The west line and the east cross were already there. The grid is not finished.

The black 2, and the two new marks

A mark just past the circle Easy

A larger circle can force a mark one step past itself before the whole number is placed. Every local split agrees on that mark, and Hint writes it. On this blank grid the black 5 in row 2 column 4 agrees on six edges: lines west along row 2 from column 2 to column 4, then south through row 3 column 4 and on to row 4 column 4, and crosses on the edge east of the circle and the edge north of it. The circle gets a yellow ring. The four lines are violet. The two crosses are muted. A yellow halo sits under each new mark. The rest of the 5 is not in this press.

The grid is still unfinished. This is the opening press on this grid. Five blank grids open here. It does not finish. The next press on this grid is the straight white circle. That is a separate figure. The toast is "Every local way to split this circle agrees on a mark just past the circle." Easy, medium, and hard return this sentence. So does any other label. The label does not hide a later sentence when the marks require it.

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Easy · six marks just past a black 5

Yellow ring on row 2 column 4. Four violet lines and two muted crosses, each with a halo. The rest of the number stays open. First press. The grid is not finished.

The black 5, and the six new marks

The line

Once a cell has two lines, every other edge at that cell is a cross. Once a cell has one line and only one edge left, that edge is a line. Hint writes that mark. On these grids the cell is empty, so there is a yellow halo and no yellow ring. The same sentence also finishes most grids. The pictures stop before that. Easy, medium, and hard return it. So does any other label. A blank grid does not open on it.

Two lines, or one edge left Easy

The loop uses two edges at a cell, or it uses none. When two lines are already there, every other edge at that cell is a cross. When one line is there and only one edge is still open, that edge is a line. Hint writes the mark. On these grids the cell is empty, so there is no circle to ring. The yellow is the halo under the new mark.

On the first picture row 1 column 2 already has two lines along the top, from the white 4. The south edge is still open. The press writes the cross from row 1 column 2 down to row 2 column 2. The cross is muted, with a yellow halo. The two lines stay violet. There is no yellow ring.

On the second picture row 1 column 5 has one line to the west and one unknown edge to the south. The press writes the line from row 1 column 5 down to row 2 column 5. The line is violet, with a yellow halo. There is no yellow ring. Both presses leave the grid unfinished. The cross comes first. The line comes two presses later. Neither is an opening. The same grid finishes on this sentence. Hint skips the toast. Most puzzles finish on it. Those finishes are not these pictures. A circle with two lines would be ringed. These pictures do not do that. The toast, both times, is "A cell with two lines crosses its other edges, and a cell with one open edge has to match." Easy, medium, and hard return this sentence. So does any other label. The label does not hide a later sentence when the marks require it. Neither press finishes.

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Easy · two lines, so the third edge is a cross

Empty cell in row 1 column 2. A halo under the new cross to the south. No yellow ring. The two lines along the top stay violet. The grid is not finished.

The new cross. No ring
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Easy · one open edge becomes a line

Empty cell in row 1 column 5. A halo under the new line to the south. No yellow ring. The grid is not finished.

The new line. No ring

Marks on the board

Marks already on the board can leave a circle with one mark that every remaining split shares. Hint writes that mark and rings the circle. The sentence is the same whether the mark is a line or a cross. The picture is the cross. A blank grid does not open on it. Easy, medium, and hard return it. So does any other label. Easy puzzles finish before the marks require it.

One shared mark Medium

Once some edges are already marked, a circle can have only one mark left that every remaining split shares. Hint writes that mark. On this grid the black 5 in row 2 column 4 agrees on the cross from row 2 column 1 to row 2 column 2. The circle gets a yellow ring. The new cross is muted, with a yellow halo. The sentence is the same when the shared mark is a line. A line of this sentence also exists. A mix of lines and crosses is the common shape. One picture is enough.

The grid is still unfinished. This is a late press. It is not an opening. The lines and crosses from the earlier presses stay. One puzzle finishes on this sentence. Hint skips the toast. Easy puzzles finish before the marks require this sentence. On these marks an easy label still returns it. The toast is "Marks already on the board leave this circle with one shared mark." Easy, medium, and hard return this sentence. So does any other label. The label does not hide a later sentence when the marks require it. It does not finish.

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Medium · one cross every remaining split shares

Yellow ring on the black 5 in row 2 column 4. A halo under the new cross at the left of that row. Older marks stay as they are. The grid is not finished.

The black 5, and the one new cross

The later loop

Three later sentences still write. Joining one edge would close a loop while a circle is still outside, so that edge is a cross. Of the ways to split a circle, only some survive the marks, and those survivors can agree. One edge can contradict the arms already found, and that edge is then a cross or a line. The two sentences for that last idea are different. Both are drawn below. A blank easy grid and a blank medium grid finish without these sentences. Hint still returns them when the marks require them. An easy label on a hard board returns a later sentence when the marks require it. The label does not hide it. The pictures leave the grid unfinished.

That close is too soon Hard

A path of lines can be one edge away from closing. If a numbered circle is still outside that loop, the closing edge is a cross. On this grid the press writes the cross from row 4 column 2 to row 4 column 3. The cell the step names is row 4 column 2, and that cell is empty. There is no circle there, so there is no yellow ring. The new cross is muted, with a yellow halo. The lines already in the path stay violet.

The grid is still unfinished. This is a later press. It is not an opening. One dense grid names a real black circle on this sentence. That grid is not the picture. This sentence never finishes a puzzle. The toast is "Joining that edge would close a loop while a circle is still outside." Easy, medium, and hard return this sentence. So does any other label. The label does not hide a later sentence when the marks require it. It does not finish.

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Hard · one cross, and no ring

A halo under the new cross from row 4 column 2 to row 4 column 3. The named cell is empty, so there is no yellow ring. The grid is not finished.

The new cross. No ring

Only the splits that survive Hard

More than one way to split a circle can still look possible. Hint follows each way with the earlier sentences. The ways that break a rule drop out. The marks that every survivor shares are written. On this grid the black 2 in row 1 column 5 agrees on four edges: crosses along the top from column 2 to column 4, the line down from row 1 column 2, and the cross one step further south. The circle gets a yellow ring. The new line is violet. The new crosses are muted. A yellow halo sits under each.

The grid is still unfinished. This is a later press on a 6×6. It is not an opening. The same kind of press can write many more edges. One 5×5 press writes fourteen. One dense press writes forty, and another writes a single cross. Those presses are not the pictures. Three puzzles finish on this sentence. Hint skips the toast. The picture does not show the dropped splits. The toast is "Of the ways to split this circle, only the ones that survive agree on this mark." Easy, medium, and hard return this sentence. So does any other label. The label does not hide a later sentence when the marks require it. It does not finish.

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Hard · four marks the survivors share

Yellow ring on the black 2 in row 1 column 5. One new line and three new crosses, each with a halo. The 6×6 is still open.

The black 2, and the four new marks

That edge contradicts the arms Hard

An edge can be impossible once the arms already found are taken seriously. Hint writes that one edge. If drawing it as a line would break the arms, it is a cross. If crossing it would break the arms, it is a line. The two sentences are different. Neither picture names a circle, so there is no yellow ring. There is a yellow halo under the one new mark.

On the first picture the press writes the cross from row 1 column 1 to row 1 column 2. The cross is muted. The grid is still unfinished. This is an early later press. It is not an opening. The cross toast is "Drawing that edge as a line contradicts the arm lengths already found, so it is a cross."

On the second picture the press writes the line from row 6 column 4 to row 6 column 5, on a 7×7. The line is violet. The grid is still unfinished. This is a later press. It is not an opening. The same grid writes another line of this sentence two presses later, and it finishes on a large split. Hint skips the toast on that finish. There is no 5×5 or 6×6 press of the line sentence. A 6×8 hard grid also writes one, late. This picture is the 7×7. The line toast is "Crossing that edge contradicts the arm lengths already found, so it is a line." Easy, medium, and hard return this sentence. So does any other label. The label does not hide a later sentence when the marks require it. Neither press finishes.

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Hard · the edge is a cross

A halo under the new cross on the first edge of the top row. No yellow ring. The grid is not finished.

The new cross. No ring
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Hard · the edge is a line

A halo under the new line from row 6 column 4 to row 6 column 5. No yellow ring. The 7×7 is not finished.

The new line. No ring

Common mistakes

A clash is a break that is already on the board, even while other edges are still blank. Check says "Something breaks the rules. Look for the marked circles or lines." Hint says "This board has a mistake, so there is no hint yet." The Mistakes counter goes up by one. The pictures draw the coral and draw no yellow. A direct look would still have a next step on these boards. The button does not make that call. A wrong mark can also sit there with no coral at all, while nothing is broken yet. Then Check says "No mistakes so far. Keep going!" and Hint offers the next edges. If that next step needs the opposite of a mark you already placed, Hint finds nothing and does not overwrite it. With error highlighting off, the same clashes paint nothing coral.

Six of these pictures are on the easy grid from the rules. The three-line picture is on a hard grid, because a three-line clash on a white circle is also a colour clash, and an empty cell has nothing to turn coral. An empty cell with three lines is still a clash, and the lines stay violet. There is no cell wash. The picture for three lines is the black circle.

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Straight through a black circle

North and south lines through the black 2 in row 4 column 1. The black fill is coral. The numeral stays light. The two lines stay violet. Check uses the error sentence. Hint is blocked. A direct look would still open on the white 4 along the top. Easy, medium, and hard would return that opening. The button returns the error toast instead. No yellow.

The black 2 in row 4 column 1
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An arm that is already too long

Two steps east of the white 2 in row 2 column 1. The white fill stays light. The ring and the numeral are coral. The lines stay violet. Check uses the error sentence. Hint is blocked. A direct look would still be the opening on the white 4. No yellow.

The white 2 in row 2 column 1
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Crosses that leave no way out

Crosses on the north and east of the white 2 in row 2 column 1. The south edge is still empty. The white ring and the numeral are coral. The crosses stay muted. Check uses the error sentence. Hint is blocked. A direct look would still be the opening. No yellow.

The white 2 in row 2 column 1
23222
Three lines at a black circle

Three lines at the black 2 in row 3 column 2. The black fill is coral. The numeral stays light. The three lines stay violet. Check uses the error sentence. Hint is blocked. A direct look would still open on the black circle on the top border of this grid. Easy, medium, and hard would return that same opening. The button does not call it. No yellow.

The black 2 in row 3 column 2
4226
A loop that closes too soon

A 2×2 loop at row 2 column 4, row 2 column 5, row 3 column 4, and row 3 column 5. The four lines are coral. No circle is marked. Check uses the error sentence. Hint is blocked. A direct look would still be the opening on the white 4. No yellow.

The four lines of the small loop
4226
A wrong line, still open

A line from row 5 column 1 to row 5 column 2. The solution does not use that edge. Nothing is broken yet, because the line is still open. Before Hint the board is legal and unfinished. The line is violet, not coral. Check says "No mistakes so far. Keep going!" The picture is after the opening hint. The wrong line stays violet, with no halo. The four new lines are violet with a yellow halo. The new cross under the white 4 is muted with a halo. The white 4 has a yellow ring. No coral.

The white 4, and the new marks
4226
A cross where the opening wants a line

A cross from row 1 column 1 to row 1 column 2. The opening wants a line there. The board is legal and unfinished. Nothing is coral. Check says "No mistakes so far. Keep going!" Hint says "No forced edge from here. A line or a cross may be wrong, so try Check or Undo." Easy, medium, and hard all find nothing, and so does any other label. The cross stays muted. It is not overwritten. No yellow.

Nothing is coral. The cross stays

What to play next

A blank grid opens on a circle. Most often that is a black circle on the border, or a white circle on the border. Sometimes it is a black circle in the corner, or a mark just past a circle. Easy grids then use those sentences and the line: two lines force a cross, and one open edge becomes a line. They finish before they need a shared mark or a later sentence. Start on a 5×5 easy grid, or on the daily 7×7 easy grid. Medium grids also reach one shared mark. A medium grid can still open on the border or on a corner. Hard grids also reach a close that is too soon, the splits that survive, or an edge that contradicts the arms. A hard grid can still open on the border. Hint reads the marks you have placed. The same marks get the same sentence whether the grid is labelled easy, medium, or hard. An easy label on a hard board still returns a later sentence when the marks require it. Describe a size by which of these sentences finish it.

A printed puzzle page shows the dotted grid and the numbered circles. A printed answer draws the loop under the circles. Crosses are not printed. Four 5×5, 6×6, or 7×7 grids share a sheet. Two 8×8, 9×9, 10×10, or 6×8 grids share a sheet. Large print is one grid on the sheet. A single pack is 8 puzzles. The starter pack is 20, one of every size and difficulty that ships. The range is Easy → Hard. The printable page is Shingoki packs.

  1. Easy5×5A white circle on the border, a black circle on the border, and two lines or one edge left. One grid finishes on the black circle on the border. Two finish on the line. The last press solves, and Hint skips the toast. They do not say a corner, a straight white circle off the border, a turn, a small number, a mark just past the circle, or any later sentence. The rules picture, the white circle on the border, both line pictures, and the mistake pictures except the degree clash are the first of these grids. The black circle on the border is the second.Play 5×5 →
  2. Easy6×6The border, then the line. Two grids also say a mark just past the circle. One of those also says a turn, and the last press is a small number, which solves it. Hint skips the toast. The other two finish on the line. They do not say a corner, a straight white circle, a shared mark, or a later sentence.Play 6×6 →
  3. Easy7×7The border, and the line. One grid is a short walk and finishes on the line. One finishes on the black circle on the border. One also says a mark just past the circle, a small number, and a turn. This is the daily size. They do not say a shared mark or a later sentence.Play 7×7 →Today's daily →
  4. Easy8×8A black circle on the border or a mark just past a circle, then a white circle on the border, then the line. All three finish on the line. They do not say a corner, a turn, a small number, or a later sentence.Play 8×8 →
  5. Easy9×9The border, and on one grid a small number, then the line. One grid is a short walk. All three finish on the line. This size is dense. They do not say a corner, a turn, a mark just past a circle, a shared mark, or a later sentence.Play 9×9 →
  6. Easy10×10The border, then the line, except one grid of four white circles on the border that finishes on that sentence. Hint skips the toast on that last press. This size is dense. There is no hard grid at this size.Play 10×10 →
  7. Easy6×8A mark just past a circle or a black circle on the border, then the rest of the border, then the line. Two grids also say a turn. One says a small number. All three finish on the line. The wide grid is 6 rows by 8 columns. It is not dense. They do not say a later sentence.Play 6×8 →
  8. Medium5×5A mark just past a circle, a straight white circle, a corner, a turn, and a shared mark. All three say a shared mark and finish on the line. They do not say a white circle on the border, a small number, or a later sentence. The straight picture, the mark just past the circle, and the shared mark are the first grid. The corner picture and the turn as a line are the third.Play 5×5 →
  9. Medium6×6A corner, a mark just past a circle, or a black circle on the border, then a small number and a shared mark. All three finish on the line. Two also say a turn. They do not say a white circle on the border, a straight white circle, or a later sentence.Play 6×6 →
  10. Medium7×7All three say a shared mark. One finishes on that shared mark, and Hint skips the toast. The other two finish on the line. One of those also says a white circle that goes straight. Openings are a black circle on the border, a corner, and a black circle on the border. They do not say a later sentence.Play 7×7 →
  11. Medium8×8All three open on a black circle on the border, say a mark just past a circle and a shared mark, and finish on the line. One also says a small number and a turn. Another says a turn and not a small number. They do not say a corner, a straight white circle, or a later sentence.Play 8×8 →
  12. Medium9×9A corner or a black circle on the border, then a shared mark. A turn, a small number, and a mark just past a circle appear. One grid also says a white circle that goes straight. All three finish on the line. This size is dense. They do not say a later sentence.Play 9×9 →
  13. Medium10×10A corner or a black circle on the border, then a shared mark, a turn, and a small number. Two also say a mark just past a circle. All three finish on the line. This size is dense. There is no hard grid at this size.Play 10×10 →
  14. Medium6×8A black circle on the border, then a shared mark, a small number, a turn, and a mark just past a circle. One grid also says a corner. All three finish on the line. They do not say a later sentence.Play 6×8 →
  15. Hard5×5A circle on the border and a small number. All three say a close that is too soon and finish on the line. The first also says the splits that survive and a contradicting cross. The second also says a shared mark and a turn. The third also says a turn and a contradicting edge. They do not say a corner, a straight white circle, or a mark just past a circle. The small-number picture, the contradicting cross, the close that is too soon, and the degree clash are the first. The turn as a cross is the second. One press of the splits that survive writes fourteen edges. That press is not the picture.Play 5×5 →
  16. Hard6×6The border and a small number. The first grid also says a turn and finishes on the splits that survive. Hint skips the toast. The second says a turn, a shared mark, a close that is too soon, and a contradicting edge, and it finishes on the line. The picture of the splits that survive is the third grid, four edges, and that press does not finish. That grid also says a shared mark and finishes later on the line. It does not say a turn.Play 6×6 →
  17. Hard7×7The border and a small number. Two grids finish on the splits that survive. Hint skips the toast. The first of those writes twenty-one edges on the finishing press. An earlier press on that same grid is the line that contradicts the arms, and it does not finish. That grid also says a shared mark. The second finishing grid says a close that is too soon and a turn, and it does not say a shared mark. The third grid says a shared mark and all three later sentences, and it finishes on the line.Play 7×7 →
  18. Hard8×8The border, a small number, a turn, and all three later sentences. Two grids also say a shared mark. All three finish on the line.Play 8×8 →
  19. Hard9×9The border, a small number, and a shared mark, on the dense grid. All three say a close that is too soon and the splits that survive, and they finish on the line. One press names a real black circle on a close that is too soon. That press is not the picture. One press of the splits that survive writes one edge, and another writes forty. Those presses are not the pictures. Two grids also say a turn, a white circle that goes straight, and an edge that contradicts the arms.Play 9×9 →
  20. Hard6×8The border, a small number, a turn, and a shared mark, on the wide grid. Two grids finish on a small number. Hint skips the toast. One of those also says a white circle that goes straight and the splits that survive. The other says a close that is too soon, the splits that survive, and a contradicting edge. The third finishes on the line and writes a contradicting line late. The picture of that sentence is the 7×7.Play 6×8 →

There is no guide-sized seed to open. The boards above are teaching boards.

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